10 A cubic function was found to have the following factors: (x-1),(x+2),& (x-3) Identify the associated graph.

To identify the graph of a cubic function given its factors, we first need to construct the function from these factors. The factors provided are \( (x-1) \), \( (x+2) \), and \( (x-3) \). Therefore, the cubic function can be expressed as: where is a constant that affects the vertical stretch or compression and the orientation of the graph.### Key Features of the Graph:1. **Roots/Zeros**: The roots of the function are the values of that make each factor zero. From the factors, the roots are: - - - 2. **End Behavior**: Since this is a cubic function, it will have the following end behavior: - As , \( f(x) \to -\infty \) if or \( f(x) \to \infty \) if or \( f(x) \to -\infty \) if , the graph starts in the third quadrant and ends in the first quadrant. If , it starts in the second quadrant and ends in the fourth quadrant.- Draw a smooth curve through the roots, ensuring it passes through the y-intercept and follows the determined end behavior.Without additional information about the value of , we cannot specify the exact orientation or vertical stretch/compression of the graph. However, the general shape will follow the characteristics outlined above.